ThmDex – An index of mathematical definitions, results, and conjectures.
F7997
Formulation 1
Let $M = (X, \mathcal{F}, \mu)$ be a D1158: Measure space such that
(i) $f : X \to [0, \infty]$ is an D5610: Unsigned basic Borel function on $M$
Then \begin{equation} f \overset{a.e.}{=} 0 \quad \iff \quad \mu(f) = 0 \end{equation}